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3 years ago

15

Can someone please help me

1 answer:

lukranit [14]3 years ago

7 0

7) 616 yd
8) 1,300 ft
9) 748 in
10) 1,000 ft

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You have $55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. how much buying power in

lianna [129]

Your interest formula is given to you.

<span>Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring) </span>

<span>Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100 </span>

<span>How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving. </span>

<span>Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782 </span>

<span>How much buying power did you lose? The difference between your required interest and your actual interest. </span>
<span>Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power. </span>

6 0

3 years ago

Read 2 more answers

Sally has £520

PIT_PIT [208]

Answer:

£132

Step-by-step explanation:

15% of 520 is 78

15% of 360 is 54

78 + 54 = 132

6 0

2 years ago

You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your a

Troyanec [42]

Answer:

E(X)=3.125

Step-by-step explanation:

We are given that two four sided dice.

Then , the sample space

{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

Total number of outcomes=16

Let the random variable X represent the maximum value of the two dice

Outcomes X P(X)

(1,1) 1 1/16

(1,2),(2,1),(2,2) 2 3/16

(1,3),(2,3),(3,1),(3,2),(3,3) 3 5/16

(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4) 4 7/16

Using the probability formula

$P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}$

Now,

$E(X)=\sum_{i=1}^{n}x_iP(x_i)$

$E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)$

$E(x)=\frac{1+6+15+28}{16}$

$E(x)=\frac{50}{16}=3.125$

7 0

3 years ago

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

$H_o: \mu = 7.1$

The alternative hypothesis:

$H_a: \mu > 7.1$

This test is right-tailed.

$degree \ of \ freedom= n - 1 \\ \\ degree \ of \ freedom = 24 - 1 \\ \\ degree \ of \ freedom = 23$

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test $t_c = 2.069$

The test statistics can be computed as:

$t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}$

$t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}$

$t = \dfrac{0.2}{0.204}$

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < $t_c = 2.069$ , then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

6 0

3 years ago

1. Is the square root of 2 between 1.3 and 1.4? How do you know?

VikaD [51]

Answer:

Step-by-step explanation:

1st . 1.3^2= 1.69

1.4^2= 1.96

It's not bettween 1.3 & 1.4

2. 1.4^2=1.96

1.5^2= 2.25

it's betteen 1.4 & 1.5

3 . 1.4 & 1.5 so it's eqaul 1.4

3 0

2 years ago

Read 2 more answers